Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19097762 |
| Sylow | C157 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34101090, #34101092, #34101099, … |
| maximal normal subgroup of | #34101090, #34101092, #34101099, … |
| maximal quotient of | C2×#23757138, C2×#23757156, C2×#23757160, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1070);